MinT - Information on Result #875192

Information on Result #875192

Linear OOA(64⁶⁶, 128, F₆₄, 2, 39) (dual of [(128, 2), 190, 40]-NRT-code), using OOA 2-folding based on linear OA(64⁶⁶, 256, F₆₄, 39) (dual of [256, 190, 40]-code), using

discarding factors / shortening the dual code based on linear OA(64⁶⁶, 257, F₆₄, 39) (dual of [257, 191, 40]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(64²⁰, 80, F₆₄, 19) (dual of [80, 60, 20]-code), using
    - extended algebraic-geometric code AG_e(F,60P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
      - a function field by SÃ©mirat [i]
  2. linear OA(64⁴⁶, 177, F₆₄, 39) (dual of [177, 131, 40]-code), using
    - extended algebraic-geometric code AG_e(F,137P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
      - a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.